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Stability of piecewise linear systems revisited

Annual Reviews in Control, 2010
Abstract Piecewise linear systems are important in representing and approximating many practical systems with complex dynamics. While stability analysis of switched linear systems are notoriously challenging, several powerful tools have been developed to cope with the challenges.
openaire   +1 more source

Novel Piecewise Linear Formation of Droop Strategy for DC Microgrid

IEEE Transactions on Smart Grid, 2019
This paper proposes a new load current sharing control strategy for dc microgrid (MG). It adopts the piecewise linear formation to adaptively assign droop gains to balance the load sharing accuracy with the deviation of bus voltage.
Yang Lin, W. Xiao
semanticscholar   +1 more source

Subspace identification of piecewise linear systems

2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601), 2004
Subspace identification can be used to obtain models of piecewise linear state-space systems for which the switching is known. The models should not switch faster than the block size of the Hankel matrices used. The nonconsecutive parts of the input and output data that correspond to one of the local linear systems can be used to obtain the system ...
V. Verdult, M. Verhaegen
openaire   +1 more source

Nonlinear Energy Sinks With Piecewise-Linear Nonlinearities

Journal of Computational and Nonlinear Dynamics, 2019
An efficient nonlinear energy sink (NES) is developed here by employing a symmetric piecewise nonlinear coupling force. The proposed piecewise NES has a symmetric clearance about its equilibrium position in which zero stiffness is assumed.
M. Al-Shudeifat
semanticscholar   +1 more source

A Class of Piecewise Linear Systems Without Equilibria With 3-D Grid Multiscroll Chaotic Attractors

IEEE Transactions on Circuits and Systems - II - Express Briefs, 2019
In this brief a new class of piecewise linear dynamical system without equilibria which exhibits a 3-D grid multiscroll chaotic attractor is presented. The number of scrolls of the attractor generated can be easily changed by the number of linear parts ...
R. J. Escalante-González   +1 more
semanticscholar   +1 more source

Piecewise linear systems in economic models

42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475), 2004
We construct a market where agents make decisions to buy or sell stocks and bonds. Agents make decisions based on a convex optimization problem with a risk-sensitive utility as the objective function. The solutions to each optimization problem are piecewise linear demands for the securities.
openaire   +1 more source

Guaranteed cost control of periodic piecewise linear time-delay systems

at - Automatisierungstechnik, 2018
This paper is concerned with the guaranteed cost control problem for continuous-time periodic piecewise linear systems with time delay. Sufficient delay-dependent conditions of closed-loop asymptotic stability are presented based on an improved ...
Xiaochen Xie, J. Lam
semanticscholar   +1 more source

Stability and stabilization of periodic piecewise linear systems: A matrix polynomial approach

at - Automatisierungstechnik, 2018
In this paper, new conditions of stability and stabilization are proposed for periodic piecewise linear systems. A continuous Lyapunov function is constructed with a time-dependent homogeneous Lyapunov matrix polynomial. The exponential stability problem
Panshuo Li, J. Lam, K. Kwok, Renquan Lu
semanticscholar   +1 more source

Canonical Forms of Generic Piecewise Linear Continuous Systems

IEEE Transactions on Automatic Control, 2011
This technical note reports a simple, but effective strategy to derive a single coordinate transformation of a generic -dimensional piecewise- linear continuous vector field that puts both of its subsystems into the same observer or control canonical form. The only hypothesis required is that both subsystems are either observable or controllable.
DI BERNARDO, MARIO   +2 more
openaire   +4 more sources

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